A three dimensional multigrid model for fully nonlinear water waves

被引:58
|
作者
Li, B
Fleming, CA
机构
[1] Sir William Halcrow and Ptnrs. Ltd., Swindon, Wiltshire, SN4 0QD, Burderop Park
关键词
three dimension; multigrid; nonlinear; waves; model;
D O I
10.1016/S0378-3839(96)00046-4
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
In this paper a three dimensional multigrid model is developed for the linear and fully nonlinear water wave propagation. The Laplace equation is transformed from an irregular calculation domain to a regular one and the boundary conditions on water surface and sea bottom can be implemented precisely. The multigrid method is used to solve the governing equation and the requirement of the computer storage is very small. The difference in computer time for running the linear model and the fully nonlinear model is not significant. The present model is valid over the complete range of water depths. For fully nonlinear water wave problems the present model is particularly efficient. The model is used to investigate the validity of the mild-slope equation for the case of strong wave focusing behind an elliptical shoal and also applied to Whalin's experiment. Simulation of wave breaking is not included in the present model.
引用
收藏
页码:235 / 258
页数:24
相关论文
共 50 条
  • [1] An efficient p-multigrid spectral element model for fully nonlinear water waves and fixed bodies
    Engsig-Karup, Allan P.
    Laskowski, Wojciech L.
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2021, 93 (09) : 2823 - 2841
  • [2] Generation of Three-Dimensional Fully Nonlinear Water Waves by a Submerged Moving Object
    Chang, Chih-Hua
    Wang, Keh-Han
    [J]. JOURNAL OF ENGINEERING MECHANICS-ASCE, 2011, 137 (02): : 101 - 112
  • [3] THREE-DIMENSIONAL PERIODIC FULLY NONLINEAR POTENTIAL WAVES
    Chalikov, Dmitry
    Babanin, Alexander V.
    [J]. PROCEEDINGS OF THE ASME 32ND INTERNATIONAL CONFERENCE ON OCEAN, OFFSHORE AND ARCTIC ENGINEERING - 2013, VOL 2B, 2013,
  • [4] A fully dispersive weakly nonlinear model for water waves
    Nadaoka, K
    Beji, S
    Nakagawa, Y
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1997, 453 (1957): : 303 - 318
  • [5] Three-dimensional, fully nonlinear, combined Eulerian-Lagrangian numerical model of porous media and water waves interaction
    Golshani, A
    Mizutani, N
    Hur, DS
    [J]. INTERNATIONAL JOURNAL OF OFFSHORE AND POLAR ENGINEERING, 2002, 12 (03) : 196 - 205
  • [6] On fully nonlinear water waves
    Wu, TY
    [J]. 3RD INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS, 1998, : 119 - 124
  • [7] A p-Multigrid Hybrid-Spectral Model for Nonlinear Water Waves
    Melander, Anders
    Engsig-Karup, Allan P.
    [J]. WATER WAVES, 2024,
  • [8] Boussinesq Model for Weakly Nonlinear Fully Dispersive Water Waves
    Karambas, Theophanis V.
    Memos, Constantine D.
    [J]. JOURNAL OF WATERWAY PORT COASTAL AND OCEAN ENGINEERING-ASCE, 2009, 135 (05): : 187 - 199
  • [9] Fully nonlinear interactions of waves with a three-dimensional body in uniform currents
    Kim, MH
    Celebi, MS
    Kim, DJ
    [J]. APPLIED OCEAN RESEARCH, 1998, 20 (05) : 309 - 321
  • [10] Numerical simulation of three-dimensional nonlinear water waves
    Xu, Liwei
    Guyenne, Philippe
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 228 (22) : 8446 - 8466